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Finding the Fourth Proportional to 3,452, 5,181.51 and 2,591.78

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Solution

The fourth proportional to 3,452, 5,181.51 and 2,591.78 is: 3,890.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,452 : 5,181.51 = 2,591.78 : x
  2. Step 2: Convert to fraction form
    3,452/5,181.51 = 2,591.78/x
  3. Step 3: Cross multiply
    3,452x = 5,181.51 × 2,591.78
  4. Step 4: Simplify right side
    3,452x = 13,429,333.99
  5. Step 5: Solve for x
    x = 13,429,333.99/3,452
  6. Step 6: Final answer
    x = 3,890.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.